Kenta Ishimoto

Cross-Scale Fluid Mathematics for Cell Motility: Prediction and Control

Grant No.：JPMJCR25Q1

Research Director : Kenta Ishimoto

Collaborator

Takuji ISHIKAWA	Professor Graduate School of Biomedical Engineering Tohoku University
Tomoyuki Shikata	Group Head Fisheries Technology Institute Fisheries Research and Education Agency

Outline

In this project, we aim to develop theoretical and computational methodologies for predicting and controlling cellular motility, where the cellular and environmental scales are intricately intertwined. To this end, we will establish cross-scale fluid mathematics grounded in the mathematical structure of fluid equations, and construct a modeling framework that bridges scales from the microscopic to the super-macroscopic. As a demonstration of this mathematical foundation, we will address the prediction of vertical aggregation phenomena in harmful red tide algae.

Tetsuya J. Kobayashi

Integrative Geometric Analysis of Discrete and Continuous Structures for the Prediction and Control of Complex Biological Phenomena

Grant No.：JPMJCR25Q2

Research Director : Tetsuya J. Kobayashi

Collaborator

Shin-ichi Ohta	Professor Graduate School of Science The University of Osaka
Naoki Honda	Professor Graduate School of Medicine Nagoya University

Outline

This study aims to establish a mathematical foundation capable of predicting and controlling the complex dynamics emerging from many-to-many causal structures among biological components. To achieve this, we advance a unified framework of geometric analysis that seamlessly integrates discrete and continuous structures as well as nonlinearity and asymmetry. Building upon this theoretical foundation, we will develop and validate information technologies for predicting phenomena such as alterations in multi-organ connectivity and immune memory. Through these efforts, we aspire to pioneer a new scientific domain of integrative geometric analysis that transcends the divide between discrete and continuous paradigms.

Koya Shimokawa

Establishment of Topological Theory for Prediction and Control of Molecular Structures

Grant No.：JPMJCR25Q3

Research Director : Koya Shimokawa

Collaborator

Toshifumi Satoh	Professor Faculty of Engineering Hokkaido University
Tomohisa Sawada	Associate Professor Institute of Integrated Research Institute of Science Tokyo
Hiroshi Jinnai	Professor Institute of Multidisciplinary Research for Advanced Materials Tohoku University

Outline

Building on knot theory and 3-manifold topology, this project aims to geometrically analyze the entanglements of ring polymers and self-assembling structures, and to establish methods for predicting and controlling molecular architectures arising from both transient and persistent entanglements. Experts in mathematics, computational science, molecular synthesis, and characterization and analysis will work in close collaboration to construct a topological theory for the prediction and control of structures formed by molecules, with the ultimate goal of contributing to society through advances in polymeric materials.

Nara Takaaki

Non-invasive measurement based on direct inversion methods

Grant No.：JPMJCR25Q4

Research Director : Nara Takaaki

Collaborator

Yuichiro Shirota	Lecturer The University of Tokyo Hospital The University of Tokyo
Khin Khin Tha	Associate Professor Faculty of Medicine Hokkaido University

Outline

This research aims to develop methods for non-invasive measurement based on direct inversion methods, which reconstruct information for medical diagnosis comparable to that of invasive measurements. For that purpose, (1) we establish methods for direct reconstruction of electrical properties of the human body, enabling evaluation of degenerative disorders of the nervous and musculoskeletal systems, (2) develop methods for recovery of the electromagnetic field on the brain surface from non-invasively measured electro/magnetoencephalography and applied them to localization of epileptic foci, which also helps refine simulation of non-invasive brain stimulation, and (3) derive methods for transformation of time-series to holomorphic functions to realize prediction of epileptic seizures.

Hiroyasu Yasuda

Designing Order: Predictive Mathematics for the Control of Natural River Dynamics

Grant No.：JPMJCR25Q5

Research Director : Hiroyasu Yasuda

Collaborator

Shunsuke Ono	Professor School of Computing Institute of Science Tokyo
Kazuaki Tanaka	Associate Professor Faculty of Science and Engineering Waseda University
Takashi Nakazawa	Associate Professor Emerging Media Initiative Kanazawa University

Outline

This study develops a mathematical framework to extract and formalize ordered structures underlying nonlinear river phenomena such as floods and geomorphic changes, linking them to design and control. Focusing on pseudo-laminar rectified flows, we advance analyses based on bifurcation and dynamical systems theory. Multi-band radar observations, structure extraction via deep learning and dynamic mode decomposition, and sequential application of reinforcement learning and shape optimization are integrated. Through these steps, we establish a foundation that iterates between prediction and design of natural processes.